Finding the Third Proportional to 37,022 and 78,174

Step by Step Solution

1. Step 1: Write the proportion equation
   37,022 : 78,174 = 78,174 : x
2. Step 2: Convert to fraction form
   37,022/78,174 = 78,174/x
3. Step 3: Cross multiply
   37,022x = 78,174 × 78,174
4. Step 4: Simplify right side
   37,022x = 6,111,174,276
5. Step 5: Solve for x
   x = 6,111,174,276/37,022
6. Step 6: Final answer
   x = 165,068.72